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The three-step master equation: class of parametric stationary solutions
(Springer Link, 2005)
Regularity of solutions to linear stochastic Schrodinger equations
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2007)
We develop linear stochastic Schrodinger equations driven by standard cylindrical Brownian motions (LSSs) that unravel quantum master equations in Lindblad form into quantum trajectories. More precisely, this paper establishes ...
Continuous monitoring of dynamical systems and master equations
(Physics Letters A, 2018)
Basic properties of nonlinear stochastic Schrodinger equations driven by Brownian motions
(INST MATHEMATICAL STATISTICS, 2008)
The paper is devoted to the study of nonlinear stochastic Schrodinger equations driven by standard cylindrical Brownian motions (NSSEs) arising from the unraveling of quantum master equations. Under the Born-Markov ...
Stochastic control with delayed information and related nonlinear master equation
(SIAM, 2019)
In this paper we study stochastic control problems with delayed information, that is, the control at time t can depend only on the information observed before time t - h for some delay parameter h. Such delay occurs ...
A Equação-Mestra: atingindo o equilíbrio
(Sociedade Brasileira de Química, 2011)
In the last years, a great interest in nonequilibrium systems has been witnessed. Although the Master Equations are one of the most common methods used to describe these systems, the literature about these equations is not ...
Differential equations with natural matrices coefficients
(IOP Publishing, 2020)
In this paper we present the main results of the master thesis in applied mathematics
of the second named author, which was supervised by the first named author. Such results, and
for instance this paper, concerns to ...
Master equation approach to propagation in nonlinear fibers
(Optical Society of America, 2021-02)
In this Letter, we revisit the quantum theory of propagation in nonlinear fibers. Unlike previous works, we present an effective propagation equation for the reduced density matrix of the complex envelope of the electric ...